Scientific Notation

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Scientific Notation

definition

Scientific notation definition, a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy

proces

For a large number.

Step 1: Move the decimal point to the left until you have a number greater than or equal to 1 and less than 10.

Step 2: Count the number of decimal places you moved the decimal point to the left and use that number as the positive power of 10.

Step 3: Multiply the decimal (in Step 1) by the power of 10 (in Step 2).

For a small number.

Step 1: Move the decimal point to the right until you have a number greater than or equal to 1 and less than 10.

Step 2: Count the number of decimal places you moved the decimal point to the right and use that number as the negative power of 10.

Step 3: Multiply the decimal (in Step 1) by the power of 10 (in Step 2)

exercises

3,749,000,000 = 3.749x10^9

0.00005267 = 5.67x10^-5

813,000,000,000,000 = 8.13x10^14

0.0000000214 = 2.14x10^-8

7.921x10^8 =792,100,000

4.13x10^3 = 4,130

8.2x 10^-5 = 0.000 082

5.2216x10^-9= 0.000 000 005 221

0.004 4x10^-3

0.000000000000000123 =1.23x10^-16

452,000,000,000,000 =4.52x10^-14

698.25400000000000000 = 6.9824x10^2

-3.28 x 10 to the 8= 328000000

0.866=8.66x10^-1

-5.41x10^0=-5.41

-47.9=4.79x10^1

5.17x10^8= 517000000

-667000000= -6.67x10^8